multidrug resistance

Multidrug resistance is the ability of disease-causing organisms to withstand a wide-variety of structurally and functionally distinct drugs or chemicals that are designed to aid in the eradication of such organisms. These organisms can be pathologic cells, including bacterial and neoplastic (tumor) cells.
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Adaptation of tumor cells to anticancer drugs in ways that make the drugs less effective.

the ability of a pathogen to withstand a number of antimicrobial drugs — such as those that might have fought that pathogen before.